Question

A Phys. Ed. classroom with 23 students is going to have a race.

How many different ways could a gold, silver, and bronze medal be awarded?

Answer 1

There are 10,626 different ways the gold, silver, and bronze medals can be awarded in a Phys. Ed. classroom with 23 students.

Step-by-step explanation:

In a Phys. Ed. classroom with 23 students, there are three medals to be awarded: gold, silver, and bronze. To determine the number of different ways these medals can be awarded, we can use the concept of permutations.

The number of ways to award the gold medal is equal to the number of students, which is 23. After the gold medal is awarded, there are 22 remaining students eligible for the silver medal. Once the silver medal is awarded, there are 21 remaining students eligible for the bronze medal.

Therefore, the total number of different ways the medals can be awarded is calculated by multiplying the number of students for each medal: 23 * 22 * 21 = 10,626.